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Abstract
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We study certain
-deformed
analogues of the maximal abelian subalgebras of the group von
Neumann algebras of free groups. The radial subalgebra is defined
for Hecke deformed von Neumann algebras of the Coxeter group
and shown
to be a maximal abelian subalgebra which is singular and with Pukánszky invariant
. Further all nonequal generator
masas in the
-deformed
Gaussian von Neumann algebras are shown to be mutually nonintertwinable.
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Keywords
maximal abelian subalgebras, singular masas, Hecke von
Neumann algebra, q-Gaussian algebras
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Mathematical Subject Classification 2010
Primary: 46L10
Secondary: 46L65
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Milestones
Received: 10 April 2017
Revised: 17 February 2019
Accepted: 18 February 2019
Published: 5 November 2019
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